RIC-0563 Developing algebraic thinking

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PLUS AND TIMES Teachers notes Times In Times, numerous solutions also exist. If we label the 5 digits as before, then we have the equation b x a x c = d x a x e. b d a e c Simplifying, we obtain the equation b x c = d x e if a ≠ 0 The algebra shows that we need to find two pairs of number tiles that have the same product. The number tile a can be any digit 1 to 9. If a, however, is 0, it does not matter whether or not the products are the same since the final product will still be 0. The greatest possible product of 216 occurs when a = 9, and the product of each pair is 24 = 3 x 8 = 4 x 6. Can all the digits 0 to 9 be used for b, c, d, and e? No! Certainly 0 is out, since the product would be 0. Since there are no multiples of 5 and 7, these two tiles cannot be used either. All three, however, will work as values for a. 78 DEVELOPING ALGEBRAIC THINKING www.ricgroup.com.au R.I.C. Publications ® ISBN 978-1-74126-088-5
PLUS 5 Place any 5 of the digits 0 to 9 in the squares so that the sum of each line is the same. Five number tiles have been used in the Plus 5 above. Five number tiles remain. Try to use those five tiles to create another Plus 5. What is the greatest possible sum you can find Plus 5? Record your results in the Plus 5 provided. What is the least possible sum you can find for Plus 5? Record your results in the Plus 5 provided. R.I.C. Publications ® www.ricgroup.com.au DEVELOPING ALGEBRAIC THINKING 79 ISBN 978-1-74126-088-5
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Developing algebraic thinking Writt
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DEVELOPING ALGEBRAIC THINKING Forew
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PROBLEM-SOLVING AND NUMBER TILES Te
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PROBLEM-SOLVING AND NUMBER TILES Te
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Place value picks R.I.C. Publicatio
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PLACE VALUE PICKS Teachers notes Pl
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PLACE VALUE PICKS Teacher’s notes
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PLACE VALUE PICKS 2 Using 9 number
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Same sums R.I.C. Publications ® ww
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SAME SUMS Teachers notes The follow
Page 27 and 28: SAME SUMS Same sums 1 Use the numbe
Page 33 and 34: SAME SUMS Consecutive Sums 11 Use t
Page 35 and 36: Primes and composites R.I.C. Public
Page 37 and 38: PRIMES AND COMPOSITES Teachers note
Page 39 and 40: LOTS OF PRIMES, LOTS OF COMPOSITES
Page 41 and 42: MORE PRIMES Use all 10 number tiles
Page 43 and 44: ALL PRIMES Use all 10 number tiles
Page 45 and 46: Divisibility rules R.I.C. Publicati
Page 47 and 48: DIVISIBILITY RULES Teachers notes D
Page 49 and 50: DIVISIBILITY RULES Teachers notes D
Page 51 and 52: DIVISIBILITY RULES Divisibility rul
Page 59 and 60: Locker numbers R.I.C. Publications
Page 61 and 62: LOCKER NUMBERS Teachers notes Probl
Page 63 and 64: LOCKER NUMBERS Teachers notes Probl
Page 65 and 66: LOCKER NUMBERS 2 Use the number til
Page 67 and 68: Exciting exponents R.I.C. Publicati
Page 69 and 70: EXCITING EXPONENTS Teachers notes E
Page 71 and 72: EXCITING EXPONENTS 2 Place all 10 n
Page 73 and 74: EXCITING EXPONENTS 4 Place all 10 n
Page 75 and 76: Plus and times R.I.C. Publications
Page 77: PLUS AND TIMES Teachers notes Plus
Page 81 and 82: TIMES Place any 5 of the digits 0 t
Page 83 and 84: Shapes R.I.C. Publications ® www.r
Page 85 and 86: SHAPES Teachers notes Triangle 10 T
Page 87 and 88: SHAPES Triangle 6 Place any 6 of th
Page 89 and 90: SHAPES Triangle 10 Place all 10 of
Page 91 and 92: SHAPES Pentagon Use all 10 number t
Page 93 and 94: Pentomino puzzles R.I.C. Publicatio
Page 95 and 96: PENTOMINO PUZZLES Teachers notes Gr
Page 97 and 98: PENTOMINO PUZZLES Use 5 number tile
Page 99 and 100: PENTOMINO PUZZLES Use 5 number tile
Page 101 and 102: Alphabet algebra a b e c d h f g R.
Page 103 and 104: ALPHABET ALGEBRA Teachers notes Alp
Page 109 and 110: ALPHABET ALGEBRA B Use all 10 numbe
Page 111 and 112: ALPHABET ALGEBRA D Use any 8 number
Page 113 and 114: ALPHABET ALGEBRA F Use all 10 numbe
Page 115 and 116: ALPHABET ALGEBRA H Use any 7 number
Page 117 and 118: ALPHABET ALGEBRA J Use any 8 number
Page 119 and 120: ALPHABET ALGEBRA L Use any 8 number
Page 121 and 122: ALPHABET ALGEBRA N Use any 9 number
Page 123 and 124: ALPHABET ALGEBRA P Use all 10 numbe
Page 125 and 126: ALPHABET ALGEBRA R Use all 10 numbe
Page 127 and 128: ALPHABET ALGEBRA T Use any 8 number
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ALPHABET ALGEBRA V Use any 7 number
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ALPHABET ALGEBRA X Use any 9 number
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ALPHABET ALGEBRA Z Use all 10 numbe
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RIC-0563 Developing algebraic thinking

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